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Network-Based Control of Discrete-Time Descriptor Systems with Random Delays

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Abstract

This paper addresses the network-based control problem for a class of descriptor systems in the discrete-time domain with random delays. By modeling the sensor-to-controller and controller-to-actuator delays as Markovian chains, the closed-loop system can be expressed as a jump linear descriptor system with two modes. The stochastically admissible necessary and sufficient condition for the closed-loop system is constructed. An explicit expression for the desired controller is given without any system decomposition. The obtained results are formulated in terms of strict linear matrix inequalities (LMIs). In addition, an example is given to illustrate the effectiveness of the proposed approach.

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Authors and Affiliations

  1. School of Electronics and Information, Nantong University, Nantong, Jiangsu, 226007, China

    Lei Zhou, Xiaoqing Xiao & Guoping Lu

Authors
  1. Lei Zhou
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  2. Xiaoqing Xiao
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  3. Guoping Lu
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Corresponding author

Correspondence to Guoping Lu.

Additional information

This work was supported by the National Natural Science Foundations of China under Grant Nos. 60874021, 60974016, 61004027 and NSF Grants BK2010275, 10KJB120003 from Jiangsu Province. This work was also supported by the Qing Lan Project from the Jiangsu Provincial Department for Education.

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Zhou, L., Xiao, X. & Lu, G. Network-Based Control of Discrete-Time Descriptor Systems with Random Delays. Circuits Syst Signal Process 30, 1055–1070 (2011). https://doi.org/10.1007/s00034-010-9253-x

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  • DOI: https://doi.org/10.1007/s00034-010-9253-x

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